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Finding the Third Proportional to 6,077.25 and 9,443.25

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Solution

The third proportional to 6,077.25 and 9,443.25 is: 14,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.25 : 9,443.25 = 9,443.25 : x
  2. Step 2: Convert to fraction form
    6,077.25/9,443.25 = 9,443.25/x
  3. Step 3: Cross multiply
    6,077.25x = 9,443.25 × 9,443.25
  4. Step 4: Simplify right side
    6,077.25x = 89,174,970.56
  5. Step 5: Solve for x
    x = 89,174,970.56/6,077.25
  6. Step 6: Final answer
    x = 14,673.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.